Answer:
Step-by-step explanation:
Let one angle be x
Other angle =x + 82
Complementary angles add up to 90
x + x + 82 = 90
2x + 82 = 90
2x = 90 - 82
2x = 8
x = 8/2
x = 4
Other angle = x + 82
= 4 +82
= 86
The angles are: 4 , 86
An angle measures 82º more than the measure of its complementary angle. What is the measure of each angle?
❖ Explanation -:Given -:
An angle measures 82º more than the measure of its complementary angle.Need to find -:
Measure of each angleAssuming -:
An angle measures 82º more than the measure of its complementary angle.
Let us assume one angle as x
Then other angle = (x + 82)
Solution -:
First we will make an equation
We know,
Complementary angles add up to 90°
x + (x + 82°) = 90°
→ x + x + 82° = 90°
→ 2x + 82° = 90°
→ 2x = 90° - 82°
→ 2x = 8
→ x = [tex]\cancel{\dfrac{8}{2}}[/tex]
→ x = 4
Substituting the value of x = 4
One angle = x = 4°
Other angle = x + 82° = (4 + 82)° = 86°
Final Answer -:
The angles are 4 and 86.[tex] \rule{180pt}{2pt}[/tex]
A recipe requires 4.5 teaspoons of sugar to make a cup of pudding. Which equation shows the number of teaspoons of sugar, y, needed to make x cups of pudding?
x = 4.5y
y = 4.5 + x
y = 4.5x
x = 4.5 + y
I am in middle school, I just clicked the wrong button.
Answer:
x = 4.5y
Step-by-step explanation:
x = pudding
y = teaspoons
y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar
I need help with this please
Here, we will apply the concept of Vertically Opposite angle property and central angle property ;
So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°
And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;
[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]
[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]
Hence, we can conclude that ;
[tex]{\bf{c=160^{\circ}}}[/tex] [tex]{\bf{b=20^{\circ}}}[/tex]50 POINTS AND BRANLIEST
What is the median value of the data set shown on the line plot?
Solution:
Step-1: Find the data.
70's: 180's: 190's: 2100's: 3110's: 4120's: 4130's: 2140's: 1Data obtained (Smallest to biggest):
70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140Step-2: Count the number of digits.
18 digits in dataStep-3: Use the formula "Total digits/2".
18/2 = 9th digitThe 9th digit in the data is the median.
Step-4: Revise the data.
70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140The median value of the line plot is 110.
Answer:
[tex]110 = \text{median}[/tex]
Step-by-step explanation:
We can see that there are:
[tex]\rightarrow \ \ \text{1 "x" on 70} \ \ \ \rightarrow \ \ 70}[/tex]
[tex]\rightarrow \ \ \text{1 "x" on 80} \ \ \ \rightarrow \ \ 80}[/tex]
[tex]\rightarrow \ \ \text{2 "x" on 90} \ \ \ \rightarrow \ \ 90,\ 90}[/tex]
[tex]\rightarrow \ \ \text{3 "x" on 100} \ \ \rightarrow \ \ 100,\ 100, \ 100}[/tex]
[tex]\rightarrow \ \ \text{4 "x" on 110} \ \ \rightarrow \ \ 110,\ 110, \ 110, \ 110}[/tex]
[tex]\rightarrow \ \ \text{4 "x" on 120} \ \ \rightarrow \ \ 120,\ 120, \ 120, \ 120}[/tex]
[tex]\rightarrow \ \ \text{2 "x" on 130} \ \ \rightarrow \ \ 130,\ 130[/tex]
[tex]\rightarrow \ \ \text{1 "x" on 140} \ \ \rightarrow \ \ 140[/tex]
Now, let's put the values in descending form (Greatest --- Smallest). Start from the bottom and go to the top.
[tex]\rightarrow140, 130, 130, 120, 120, 120, 120, 110, 110, 110, 110, 100, 100, 100, 90, 90, 80, 70[/tex]
To find the median of the line plot, we need to check how many numbers are in total. Then, use the correct formula to find out which digit is the median. Lastly, use the "descending" data to find the median.
[tex]\rightarrow 1 + 1 + 2 + 3 + 4 + 4 + 2 + 1[/tex]
[tex]\rightarrow 7 + 11[/tex]
[tex]\rightarrow 18 \ \text{digits}[/tex]
Since 18 is an even number, the correct formula to use is [tex]\frac{n}{2}[/tex], where n is the total digits in the line plot.
[tex]\rightarrow \dfrac{n}{2}[/tex]
[tex]\rightarrow \dfrac{18}{2} = 9^{\text{th}}[/tex]
Now, let's take a look at our "descending" data to see which is the median. Remember, the ninth digit is the median.
[tex]140, 130, 130, 120, 120, 120, 120, 110, \boxed{\bold{110}}, 110, 110, 100, 100, 100, 90, 90, 80, 70\\[/tex]
Thus, 110 is the median.
2. What is the total surface area of the figure below 5.2 cm 6 cm 9 cm 6 cm 6 cm
Answer:
193.2 cm²
Step-by-step explanation:
Area = 5.2 x 6 + 3 x 6 x 9
= 31.2 + 162
= 193.2 cm²
5
2
Which function is linear? Select all that apply.
А. у = = 4x
+ 2
B.y= 62° + 8
cy= 2x + 8
D.
y = x +1
Answer:
a,c,d
Step-by-step explanation:
Solve the system of equations using substitution.
Solution: _______?
Y=8x-2
3x+y=42
Answer:
(4,30)
Step-by-step explanation:
3x+y=42
y=8x-2
3x+8x-2=42
11x-2=42
+2 +2
11x=44
÷11 +11
x=4
helppppppp reallyyyyyyyyyyy
Answer:
P=58in.²
Step-by-step explanation:
do you really need explanation? I don't know how to explain it to you I just calculated it gradually...
2500 divided by 0.05?
A man paid a debt of $6789 in three payments. The second time he paid $3 more than he did the first time and the third payment was twice as much as the second payment. What was the amount of each payment?
Answer:
$6789.00, $20,367.00, $40,734.00
Step-by-step explanation:
debt: $6,789.00
multiply by $3 which equals $20,367.00
then take the value of $20,367.00 and multiply again by 2 which equals 40,734.00
that's my step by step explanation
hope this helps.
Can someone please help with this
Which function is a quadratic function? p(x) = 2x(x2 6) 1 m(x) = –4(x 3) – 2 t(x) = –8x2(x2 – 6) 1 h(x) = 3x(x – 2) – 4.
The function represent the quadratic function is h(x) = 3x(x – 2) – 4, the correct option is D.
What is Quadratic funtion?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.
The function which represnt a quadratic function is;
[tex]\rm h(x) = 3x(x - 2) - 4\\\\ h(x)=3x\times x - 3x \times 2-4\\\\ h(x)=3x^2-6x-4[/tex]
The highest degree of the function is 2 so the function is the quadraic function.
Hence, the function represent the quadratic function is h(x) = 3x(x – 2) – 4.
To know more about quadratic function click the link given below.
https://brainly.com/question/9777225
What is the discriminant of -2x2 - x-1=0
Answer:
-7
Step-by-step explanation:
In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].
-2x² -x -1= 0
Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.
a= -2, b= -1, c= -1
D
= (-1)² -4(-2)(-1)
= 1 -4(2)
= 1 -8
= -7
Implications of discriminant
The discriminant tells us the number of roots (solutions) the equation hasWhen D < 0, there are no real rootsWhen D= 0, there is one real rootWhen D > 0, there are two real rootsTheo says that the point (-5, 7) and its reflection are always 10 units apart. Is he correct? Explain
Answer:
no
Step-by-step explanation:
This answer is no because -5 and 7 are 12 units apart
Complete the table.
2
6
12
18
24
30
35
40
48
50
62
i did the test
How do you think you could find the volume of a cylinder
Answer:
to find the volume of a cylinder formulae is pi r² x Height
Step-by-step explanation:
because to find the volume of any object we have to multiply the area of the base and the height
now as the base of the cylinder is circle we have to fulfill the area of circle with the height of the cylinder
hence
volume
of
the
cylinder = area of circle x height
= pi r² x Height
If the sum of the number and five is tripled, the result is one less than twice the number. Find the number.
Answer:
see below
Step-by-step explanation:
5 + y x 3 = 2y - 1
How old am I if 300 reduced by 4 times my age is 92?
You travel between these two mile markers and then find your average speed in miles per hour.
Select the three equations that represent this situation.
2.5 hours=150 milesspeed
150 miles=2.5 hours×speed
speed=150 miles2.5 hours
speed150 miles=2.5 hours
Answer:
150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours
Hope this helps :)
Adeline invests $5,250 in an account that is compounded annually and
pays an interest rate of 3.4% each year. Use this information to fill in the blanks below. *
The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.
What in a compound interest?
Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.
The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n
Where
PV = amount invested (1 + r) = exponential factorn = number of yearsTo learn more about compound interest, please check: https://brainly.com/question/26367706
Explain How you get -8 whe solving -5+-3
Answer:
-5+(-3)
=-5-3
=-8
Step-by-step explanation:In a problem like this you have to write -3 in parentheses.
Since the + sign is outside the parentheses here, the -3 and + sign are multiplied.
+ saha- multiplication yields -sign.
So there's a -3 coming.
Then -5-3.
Since the sign of this is the same, the two numbers are added. In both - the mark is applied to the answer because there is a mark.
The volume of a cuboid is 308cm3. The length is 11cm and the width is 70mm. Work out the height of the cuboid in cm.
Answer:
40cm
Step-by-step explanation:
Convert mm to cm
Create equation
11cm·0.7mm·Lmm=308cm³
solve for L
7.7L=308
L=40
Find the total area in the picture. Round to the nearest tenths place.
will recommend to keep in touch with picture as name of sides are based on it!.
It may not get messy so i will divide whole answer into small parts.
Now Let's move to solution :)
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]
In this part we will just focus on Semicircle with diameter 22 ft.
Given :-
Diameter = 22 ft[tex] \\ [/tex]
To find:-
Area of semicircle[tex] \\ [/tex]
So first of all let's convert diameter into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
So:-
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 11[/tex]
[tex] \\ \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
so:-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]
So in this part we will find area of other semicircle.
Now as u can see BC isn't given , but AC and AB are given.
So let's find BC:-
AC = AB + BCBC = AC - ABBC = 30 - 22BC = 8 ft[tex] \\ [/tex]
Now we got the diameter, so let's change it into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
[tex] \\ [/tex]
so :-
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\[/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 4[/tex]
[tex] \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]
Now Finally in this part we'll add both the areas of these semicircles.
Let :-
Area of semicircle with diameter AB be A₁Area of semicircle with diameter BC be A₂[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]
[tex] \\ \\ [/tex]
Write an equation of the line in slope- intercept form
Answer:
[tex]a)\ y=-\frac{1}{3}x[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}[/tex]
[tex]y=mx+b\\y=-\frac{1}{3}x +b[/tex]
(0, 0)
[tex]y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b[/tex]
[tex]y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x[/tex]
Check your answer:
[tex]y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1[/tex]
This statement is true
Hope this helps!
Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day
working and already has $12 saved, which equation shows how many
days Marco must work before he can afford the shoes?
A. 3d = 57
B. 3d – 12d = 57
C. 3d = 45
D. 3d – 12 = 57
Answer:
3x+12=57 x= how many days
Step-by-step explanation:
Answer:
C. 3d=45
Step-by-step explanation:
subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45
Find the approximate Volume of a Sphere with a diameter of 10.
(Please round your answer to the hundreths place.)
Answer:
4188.79
Step-by-step explanation:
Formula for volume of a sphere: let V be volume and r be diameter:
V=(4/3)pi(r)^3
Pi can be written as 3.141593
What are the angles for these?
Answer:
1) 60
2) 80
3) 90
step by step explanation
so sorry
Calculate the volume of a cylinder with height 18cm and diameter 5cm. Give your answer rounded to 3sf.
can some one tell me the answer pls. I will mark you brainliest
Answer:
the correct answer is 65 degrees
Step-by-step explanation:
The angle is 65 degrees
Answer:
it is 75°
Step-by-step explanation:
so do you see the red line? it is in between 70° and 80° which means it's 75°
trinity solved the equation 2(x-3)+7-3x=11.
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
[tex]2(x-3)+7-3x=11[/tex]
[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]
[tex]2\left(x-3\right)-3x=4[/tex]
[tex]-x-6=4[/tex]
[tex]-x-6+6=4+6[/tex]
[tex]-x=10[/tex]
[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]
[tex]x=-10[/tex]
~
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answer:
six miles total
Step-by-step explanation:
adding the 4.25s together and count how many you added till you reach the price
Mia took the taxi ride for 7 miles not including the tip and pickup fee.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, that Mia took a taxi from her house to the airport.
The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05.
∴ Her taxi charge excluding the pickup fee is,
= (31.05 - 1.30) dollars.
= 29.75 dollars.
So, the no. of miles she rides is,
= (29.75/4.25) dollars.
= 7 miles.
learn more about unitary method here :
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